Question

Find an equation of the line with the given slope and containing the given point. Write the equation using function notation. Slope -6​; through ​(7​,8​)

Answer 1

`(\stackrel{x_1}{7}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ -6 \\\\\\ \begin{array} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-6}(x-\stackrel{x_1}{7}) \\\\\\ y -8 = -6 x +42 \implies {\Large \begin{array}{llll} y = -6 x +50 \end{array}}`